FRAX
This is an app for iPhones and iPads, and it is the best touch screen fractal explorer EVER made. It’s simply wonderful! You can pinch to zoom or spin and steer by tilting. Incredible fun, and so beautiful.

Mandelbulber | Mandelbulb3D
If you’re ready to explore 3D fractals like the Mandelbulb and Mandelbox, here are two great free programs that will open up infinite worlds. The first one may be a little more powerful and possibly a bit faster, but the second one is a little easier to use. I love them both! And they’re both Free!

Ultra Fractal
When you are ready for more power, Ultra Fractal is an awesome, professional package that supports animation, arbitrarily deep fractals, and extremely high resolution.

XenoDream
This is a complex and powerful 3D modeling program that makes fractals really well. A professional program, it supports animation as well as high resolution rendering.

Electric Sheep
This is an incredible evolving collaborative fractal screen saver project. Download the screensaver (for Mac, PC or linux) and let your computer help create some of the most beautiful fractal animations anywhere. Interact with it by voting on your favorite sheep, and help contribute to the fractal evolution! Free!

Videator
This incredible realtime video manipulation software allows the user to do all sorts of fun and beautiful live video effects, and best of all it is integrated with XaoS, the fractal zoomer, so you can blend yourself and your friends into the infinite fractal landscapes…

Fractal Grower
An interactive Java applet by UNM professor Joel Castellanos, that allows you to virtually grow ‘plants’ and other similar fractal shapes, by repeating a simple geometric operation. Lots of fun. Free!

Google Earth
The magnificent free program that allows you to explore anywhere on Earth. Zoom in to discover natural fractals such as mountains, rivers and coastlines. (Coming soon: custom KMZ layers showing a special collection of natural fractals on the Earth.) Free!